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The Joukowski map is defined by

The Joukowski map is defined by

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Complex analysis 

6. The Joukowski map is defined by Show that J maps the circle S = {|2| = ro} (ro > 0, ro # 1) onto an ellipse + = 1 and the unit circle S = {|=| = 1} onto the real interval [-1, 1]. Hint: use polar form of z. %3D %3D
Transcribed Image Text:6. The Joukowski map is defined by Show that J maps the circle S = {|2| = ro} (ro > 0, ro # 1) onto an ellipse + = 1 and the unit circle S = {|=| = 1} onto the real interval [-1, 1]. Hint: use polar form of z. %3D %3D
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